-6(2x+7)=78

Solution for -6(2x+7)=78 equation:

Simplifying
-6(2x + 7) = 78

Reorder the terms:
-6(7 + 2x) = 78
(7 * -6 + 2x * -6) = 78
(-42 + -12x) = 78

Solving
-42 + -12x = 78

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '42' to each side of the equation.
-42 + 42 + -12x = 78 + 42

Combine like terms: -42 + 42 = 0
0 + -12x = 78 + 42
-12x = 78 + 42

Combine like terms: 78 + 42 = 120
-12x = 120

Divide each side by '-12'.
x = -10

Simplifying
x = -10